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... QUANTITATIVE TECHNIQUES 1. DECISION MAKING AND QUANTITATIVE TECHNIQUES  Problem solving and decision making  Quantitative analysis and decision making  Steps in quantitative analysis  Methods of cost, revenue, and profit  Quantitative methods in practice 2. INTRODUCTION TO LINEAR PROGRAMMING  ...
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... Then we calculate the likelihood function, L(λ1 , λ2 ) = λ1 exp(−λ1 (1.7))λ2 exp(−2λ1 − λ2 (3.3 − 2)) × exp(−λ1 (1.5)) exp(−2λ1 − λ2 (2.6 − 2)) exp(−2λ1 − λ2 (3.5 − 2)) = λ1 λ2 exp(−λ1 [1.7 + 1. + 6] − λ2 [1.3 + .6 + 1.5]) = λ1 λ2 exp(−9.2λ1 − 3.4λ2 ). Now we need to find values of the parameters λ1 ...
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Mathematical optimization



In mathematics, computer science and operations research, mathematical optimization (alternatively, optimization or mathematical programming) is the selection of a best element (with regard to some criteria) from some set of available alternatives.In the simplest case, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. The generalization of optimization theory and techniques to other formulations comprises a large area of applied mathematics. More generally, optimization includes finding ""best available"" values of some objective function given a defined domain (or a set of constraints), including a variety of different types of objective functions and different types of domains.
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